31314 has 16 divisors (see below), whose sum is σ = 66528. Its totient is φ = 9792.

The previous prime is 31307. The next prime is 31319. The reversal of 31314 is 41313.

31314 = T₅₂ + T₅₃ + ... + T₆₈.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 31314.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31314.

It is not an unprimeable number, because it can be changed into a prime (31319) by changing a digit.

31314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2³¹³¹⁴ is an apocalyptic number.

31314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31314 is an abundant number, since it is smaller than the sum of its proper divisors (35214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264).

31314 is a wasteful number, since it uses less digits than its factorization.

31314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329.

The product of its digits is 36, while the sum is 12.

The square root of 31314 is about 176.9576220455. The cubic root of 31314 is about 31.5195142375.

Adding to 31314 its reverse (41313), we get a palindrome (72627).

Subtracting 31314 from its reverse (41313), we obtain a palindrome (9999).

The spelling of 31314 in words is "thirty-one thousand, three hundred fourteen".